On the number of representations of a positive integer as a sum of two binary quadratic forms

DOI10.1142/S1793042114500353zbMath1302.11013OpenAlexW2127097035MaRDI QIDQ3190777

Lerna Pehlivan, Kenneth S. Williams, Şaban Alaca

Publication date: 19 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042114500353

zbMATH Keywords

number of representationssum of divisorsquaternary quadratic formssum of two binary quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Related Items

Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes, Theta functions of nineteen non-diagonal positive-definite quaternary quadratic forms of discriminant 784 with levels 28 or 56, Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class, Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

Cites Work

• THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS
• THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY CERTAIN QUATERNARY QUADRATIC FORMS
• Nineteen quaternary quadratic forms
• REPRESENTATIONS OF INTEGERS BY THE FORM x² + xy + y² + z² + zt + t²